2w^2-1w-91=0

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Solution for 2w^2-1w-91=0 equation:



2w^2-1w-91=0
a = 2; b = -1; c = -91;
Δ = b2-4ac
Δ = -12-4·2·(-91)
Δ = 729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{729}=27$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-27}{2*2}=\frac{-26}{4} =-6+1/2 $
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+27}{2*2}=\frac{28}{4} =7 $

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